Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 8826, 8830 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8826 and 8830 is 2.
GCF(8826,8830) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8826
2 | 8826 |
3 | 4413 |
1471 | 1471 |
1 |
Prime factors of 8826 are 2,3,1471. Prime factorization of 8826 in exponential form is:
8826 = 21×31×14711
Prime Factorization of 8830
2 | 8830 |
5 | 4415 |
883 | 883 |
1 |
Prime factors of 8830 are 2,5,883. Prime factorization of 8830 in exponential form is:
8830 = 21×51×8831
∴ So by taking common prime factors GCF of 8826 and 8830 is 2
Factors of 8826
List of positive integer factors of 8826 that divides 8826 without a remainder.
1,2,3,6,1471,2942,4413,8826
Factors of 8830
List of positive integer factors of 8830 that divides 8830 without a remainder.
1,2,5,10,883,1766,4415,8830
Greatest Common Factor
We found the factors and prime factorization of 8826 and 8830. The biggest common factor number is the GCF number.
So the greatest common factor 8826 and 8830 is 2.
Also check out the Least Common Multiple of 8826 and 8830
(i) The GCF of 8826 and 8830 is associative
GCF of 8826 and 8830 = GCF of 8830 and 8826
1. What is the GCF of 8826 and 8830?
Answer: GCF of 8826 and 8830 is 2.
2. What are the Factors of 8826?
Answer: Factors of 8826 are 1, 2, 3, 6, 1471, 2942, 4413, 8826. There are 8 integers that are factors of 8826. The greatest factor of 8826 is 8826.
3. What are the Factors of 8830?
Answer: Factors of 8830 are 1, 2, 5, 10, 883, 1766, 4415, 8830. There are 8 integers that are factors of 8830. The greatest factor of 8830 is 8830.
4. How to Find the GCF of 8826 and 8830?
Answer:
Greatest Common Factor of 8826 and 8830 = 2
Step 1: Find the prime factorization of 8826
8826 = 2 x 3 x 1471
Step 2: Find the prime factorization of 8830
8830 = 2 x 5 x 883
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 8826 and 8830 is 2